Answer:
Probability = 2 / 15
Explanation:
To calculate the probability of Finn selecting a romance book, we need to determine the ratio of the number of romance books to the total number of books on Finn's shelf.
Given the following information:
- Number of drama books: 12
- Number of history books: 3
- Number of romance books: 4
- Number of adventure books: 11
The total number of books on Finn's shelf is the sum of all these categories:
Total number of books = Number of drama books + Number of history books + Number of romance books + Number of adventure books
Total number of books = 12 + 3 + 4 + 11
Total number of books = 30
Therefore, there are 30 books in total on Finn's shelf.
The probability of Finn selecting a romance book can be calculated by dividing the number of romance books by the total number of books:
Probability = Number of romance books / Total number of books
Probability = 4 / 30
Simplifying the fraction, we have:
Probability = 2 / 15
Hence, the probability that Finn selects a romance book is 2/15 or approximately 0.1333 (rounded to four decimal places).